Keith Porteous Wood, executive director of the National Secular Society, said: "David Cameron should ignore Lord Carey's theocratic and anti-democratic blustering.
"Nothing in the proposed same-sex marriage laws require Christians to conduct or partake in same-sex marriage, and Lord Carey has no right to insist that his discriminatory and intolerant views should prevail over those of the public and Parliament. And, rightly, they will not be allowed to.
"This survey referred to in the Daily Mail is a very small, self- selecting one. The more representative and independent polls show public support for gay marriage, including among Christians in the pews."
More top news
Jordi Sanchez of the Catalan National Assembly and Jordi Cuixart of the Omnium Cultural group were jailed on Monday.
Storm Ophelia continues to bring strong winds to western parts.
Lawyers carrying out an FA-funded inquiry into historical abuse in football are receiving counselling after listening to survivors' stories.